Numerical Computation of Coexistence States

DOI10.1137/0729065zbMath0758.65066OpenAlexW2081184469MaRDI QIDQ4018609

Mónica E. Villarreal, Julián López-Gómez, Marcela Molina-Meyer

Publication date: 16 January 1993

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0729065

zbMATH Keywords

numerical examplesreaction-diffusion systemscollocationpseudospectral methodssolution surfacesGalerkin approximationpath-followingcoexistence statesbifurcation parameterselliptic Lotka-Volterra modelsglobal manifold of coexistence statesmultiparameter nonlinear problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Population dynamics (general) (92D25) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Bifurcations in context of PDEs (35B32)

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